Many people often ask about the origin of Satan and what role he plays in history. Rather than "reinvent the wheel," I have chosen to appeal to wisdom of John Piper. The full sermon can be found here.
Satan, that Ancient Serpent
Who is this serpent? The fullest answer is given in Revelation 12:9: “The great dragon was thrown down, that ancient serpent, who is called the devil and Satan, the deceiver of the whole world—he was thrown down to the earth, and his angels were thrown down with him.” So the serpent in the garden is the devil (which means slanderer), and Satan (which means accuser), and the deceiver of the whole world. Jesus calls him “the evil one” (Matthew 13:19) and “the ruler of this world” (John 12:31; 14:30; 16:11). The Pharisees call him “Beelzebul, the prince of demons” (Matthewe 12:24). Paul calls him “the god of this age” (2 Corinthians 4:4) and “the prince of the power of the air” (Ephesians 2:2).
Crushing Satan on the Cross
The day is coming, God says, when you (not just your offspring) will be defeated and removed from the earth. The offspring of this woman will crush you (see Romans 16:20 and Hebrews 2:14). That decisive blow was struck by the perfect offspring of the woman, Jesus Christ, when he died on the cross. This is one of the reasons why the eternal Son of God had to become a man—because it was the offspring of the woman who would crush Satan.